A new projection-type stabilized formulation for the parabolic problem is proposed.The method is based on the same equal-order mixed finite element space for both regions.Compared with usual local projection stabilization methods,we add a new projectiontype stabilization term and a pressure jump term,which can effectively bypass the inf-sup condition.It also ensures that our technique can be applied to not only continuous pressure space but also discontinuous pressure space.The stability of the proposed scheme is proved.Error estimates are obtained.At last,some numerical experiments are given to verify our theoretical results and the efficiency.